Mine is a tight fit between the left pair of friction tuners on my Vineyard, but I'm chiming in because I've found space even on my Risa Stick to fit one of these tuners: on the back of the "head" between where the strings emerge, right before the zero fret, as well as below the bottom arm of the tuner well, between the bridge and the output jack.
To the OP: you ought to keep trying different orientations until you find one that works!